Ex 2.2, 13 A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get − 7/12. What is the number?Let x be the rational number
Given that,
If Multiply number by 5/2
and add 2/3 to product,
we get – 7/12
Therefore,
5𝑥/2+2/3=(−7)/12
5𝑥/2=(−7)/12 −2/3
5𝑥/2=(−7 − 2 × 4)/12
5𝑥/2=(−7 − 8)/12
5𝑥/2=(−15)/12
𝑥 = (−15)/12×2/5
𝑥 = (−3)/6
𝑥=(−1)/2
∴ The rational number is (−𝟏)/𝟐